Abstract:
A semiclassical cosmological model is considered which consists of a closed Friedmann-Robertson-Walker spacetime in the presence of a cosmological constant, which mimics the effect of an inflaton field, and a massless, non-conformally coupled quantum scalar field. We show that the back-reaction of the quantum field, which consists basically of a nonlocal term due to gravitational particle creation and a noise term induced by the quantum fluctuations of the field, are able to drive the cosmological scale factor over the barrier of the classical potential so that if the universe starts near a zero scale factor (initial singularity), it can make the transition to an exponentially expanding de Sitter phase. We compute the probability of this transition and it turns out to be comparable with the probability that the universe tunnels from “nothing” into an inflationary stage in quantum cosmology. This suggests that in the presence of matter fields the back-reaction on the spacetime should not be neglected in quantum cosmology. © 1999 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Noise induced transitions in semiclassical cosmology |
Autor: | Calzetta, E. |
Filiación: | Instituto de Astronomía y Física del Espacio (IAFE) and Departamento de Física, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina Departament de Física Fonamental and Institut de Física d’Altes Energies (IFAE), Universitat de Barcelona, Av. Diagonal 647, Barcelona, E-08028, Spain
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Año: | 1999
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Volumen: | 59
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Número: | 8
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.59.083513 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v59_n8_p_Calzetta |
Referencias:
- Vilenkin, A., (1982) Phys. Lett., 117B, p. 25
- Vilenkin, A., (1983) Phys. Rev. D, 27, p. 2848
- Vilenkin, A., (1984) Phys. Rev. D, 30, p. 509
- Hartle, J.B., Hawking, S.W., (1983) Phys. Rev. D, 28, p. 2960
- Vilenkin, A., (1986) Phys. Rev. D, 33, p. 3560
- Wald, R.M., (1983) Phys. Rev. D, 28, p. 2118
- Calzetta, E., El Hasi, C., (1995) Phys. Rev. D, 51, p. 2713
- Calzetta, E., (1991) Phys. Rev. D, 44, p. 3043
- Calzetta, E., Sakellariadou, M., (1992) Phys. Rev. D, 45, p. 2802
- Calzetta, E., Sakellariadou, M., (1993) Phys. Rev. D, 47, p. 3184
- Campos, A., Verdaguer, E., (1997) Int. J. Theor. Phys., 36, p. 2525
- Calzetta, E., Campos, A., Verdaguer, E., (1997) Phys. Rev. D, 56, p. 2163
- Coleman, S., (1977) Phys. Rev. D, 15, p. 2929
- Callan, C.G., Coleman, S., (1977) Phys. Rev. D, 16, p. 1762
- Coleman, S., De Luccia, F., (1980) Phys. Rev. D, 21, p. 3305
- Affleck, I., (1981) Phys. Rev. Lett., 46, p. 388
- Garriga, J., (1994) Phys. Rev. D, 49, p. 6327
- Hawking, S.W., Turok, N., (1998) Phys. Lett. B, 425, p. 25
- Linde, A., (1998) Phys. Rev. D, 58, p. 83514
- Vilenkin, A., (1998) Phys. Rev. D, 57, p. 7069
- Garriga, J., hep-th/9803210; Barvinsky, A., Kamenshchik, A., (1998) Nucl. Phys., B532, p. 339
- Caldeira, A.O., Legget, A.J., (1983) Ann. Phys. (N.Y.), 149, p. 374
- Rubakov, V.A., (1984) Nucl. Phys., B245, p. 481
- Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843
- Hu, B.L., Paz, J.P., Zhang, Y., (1993) Phys. Rev. D, 47, p. 1576
- Halliwell, J.J., (1996) Phys. Rev. D, 53, p. 2012
- Halliwell, J.J., (1988) Phys. Rev. D, 38, p. 2468
- Langer, J.S., (1969) Ann. Phys. (N.Y.), 54, p. 258
- Simon, J.Z., (1991) Phys. Rev. D, 43, p. 3308
- Parker, L., Simon, J.Z., (1993) Phys. Rev. D, 47, p. 1339
- Flanagan, E.E., Wald, R.M., (1996) Phys. Rev. D, 54, p. 6233
- Calzetta, E., Hu, B.-L., (1994) Phys. Rev. D, 49, p. 6636
- Gell-Mann, M., Hartle, J.B., (1993) Phys. Rev. D, 47, p. 3345
- Gleiser, M., Ramos, R.O., (1994) Phys. Rev. D, 50, p. 2441
- Calzetta, E., Hu, B.-L., (1995) Phys. Rev. D, 52, p. 6770
- Hu, B.L., Sinha, S., (1995) Phys. Rev. D, 51, p. 1587
- Hu, B.-L., Matacz, A., (1995) Phys. Rev. D, 51, p. 1577
- Campos, A., Verdaguer, E., (1996) Phys. Rev. D, 53, p. 1927
- Calzetta, E., Hu, B.-L., (1997) Phys. Rev. D, 55, p. 3536
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge, England
- Wald, R.M., (1994) Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, , The University of Chicago Press, Chicago
- N.Ya. Vilenkin, Special Functions and Theory of Group Representations, (Nauka, Moscow, 1965); Schwinger, J., (1961) J. Math. Phys., 2, p. 407
- Schwinger, J., (1962) Phys. Rev., 128, p. 2425
- Bakshi, P.M., Mahanthappa, K.T., (1963) J. Math. Phys., 4, p. 1
- Bakshi, P.M., Mahanthappa, K.T., (1963) J. Math. Phys., 4, p. 12
- Keldysh, L.V., (1965) Sov. Phys. JETP, 20, p. 1018
- Chou, K., Su, Z., Hao, B., Yu, L., (1985) Phys. Rep., 118, p. 1
- Jordan, R.D., (1986) Phys. Rev. D, 33, p. 444
- Jordan, R.D., (1987) Phys. Rev. D, 36, p. 3593
- Campos, A., Verdaguer, E., (1994) Phys. Rev. D, 49, p. 1861
- Feynman, R.P., Vernon, F.L., (1963) Ann. Phys. (N.Y.), 24, p. 18. , R.P. Feynman and A.R. Hibbs Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965)
- Hu, B.L., (1989) Physica A, 158, p. 399
- Kuo, C.I., Ford, L.H., (1993) Phys. Rev. D, 47, p. 4510
- Phillips, N.G., Hu, B.L., (1997) Phys. Rev. D, 55, p. 6123
- Martín, R., Verdaguer, E., gr-qc/9811070; Risken, H., (1984) The Fokker-Planck Equation, , Springer-Verlag, Berlin
- Sancho, J.M., San Miguel, M., (1980) Z. Phys. B, 36, p. 357
- Sancho, J.M., San Miguel, M., (1981) Z. Phys. B, 43, p. 361
- Sancho, J.M., San Miguel, M., Katz, S.L., Gunton, J.D., (1982) Phys. Rev. A, 26, p. 1589
- Gradshteyn, I.S., Ryzhik, I.M., (1979) Table of Integrals, Series, and Products, , Academic, New York
- Novikov, E.A., (1965) Sov. Phys. JETP, 20, p. 1290
- Kramers, H.A., (1940) Physica (Amsterdam), 7, p. 284
- Hänggi, P., Talkner, P., Borkovec, M., (1990) Rev. Mod. Phys., 62, p. 251
- Landau, L., Lifshitz, E.M., (1960) Mecanique, , Mir, Moscow
- Arnol’d, V.I., (1978) Mathematical Methods of Classical Mechanics, , Springer-Verlag, New York
- Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1972); Whittaker, E., Watson, G., (1940) A Course of Modern Analysis, , Cambridge University Press, Cambridge, England
- Parker, L., (1969) Phys. Rev., 183, p. 1057
- Kurchan, J., (1998) J. Phys. A, 31, p. 3719
- Calzetta, E., Castagnino, M., (1984) Phys. Rev. D, 20, p. 1602
Citas:
---------- APA ----------
(1999)
. Noise induced transitions in semiclassical cosmology. Physical Review D - Particles, Fields, Gravitation and Cosmology, 59(8).
http://dx.doi.org/10.1103/PhysRevD.59.083513---------- CHICAGO ----------
Calzetta, E.
"Noise induced transitions in semiclassical cosmology"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 59, no. 8
(1999).
http://dx.doi.org/10.1103/PhysRevD.59.083513---------- MLA ----------
Calzetta, E.
"Noise induced transitions in semiclassical cosmology"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 59, no. 8, 1999.
http://dx.doi.org/10.1103/PhysRevD.59.083513---------- VANCOUVER ----------
Calzetta, E. Noise induced transitions in semiclassical cosmology. Phys Rev D Part Fields Gravit Cosmol. 1999;59(8).
http://dx.doi.org/10.1103/PhysRevD.59.083513